Apparent relations between planetary spin, orbit, and solar differential rotation

A correlation is found between changes in Earth's length of day [LOD] and the spatio–temporal disposition of the planetary masses in the solar system, characterised by the z axis displacement of the centre of mass of the solar system [CMSS] with respect to the solar equatorial plane smoothed over a bi-decadal period. To test whether this apparent relation is coincidental, other planetary axial rotation rates and orbital periods are compared, and spin–orbit relations are found. Earth's axial angular momentum moment of inertia, and internal dynamics are considered in relation to the temporal displacement between the potential stimulus and the terrestrial response. The differential rotation rate of the Sun is considered in relation to the rotational and orbital periods of the Earth–Moon system and Venus and Mercury, and harmonic ratios are found. These suggest a physical coupling between the bodies of an as yet undetermined nature. Additional evidence for a resonant coupling is found in the relation of total solar irradiance (TSI) and galactic cosmic ray (GCR) measurements to the resonant harmonic periods discovered.